This problem illustrates the First Derivative Test. Suppose you compute a derivative of a continuous function g and simplify it as the following: g '(x) = 30x2(10x --1) 10 --x .
(a) Find the critical points of g.
(b) Determine the sign of g ' on each subinterval of the real number line where cp1, cp2, and cp3 refer to the critical points from smallest to largest.

Kyle and elijah are planning a road trip to california. their car travels 3/4 of a mile per min. if they did not stop driving, how many miles could kyle and elijah drove in a whole day? ? 1 day = 24 hours. plzzz write a proportion i will give you 100 points

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Me! i will mark brainliest! i don't get polynomials and all that other stuff. so this question is really hard. multiply and simplify.(x - 4) (x^2 – 5x – 6)show your